Mathematics
Job function
Typical job functions include: the modelling and analysis of any phenomena (in the field of physics, biology, medicine, etc.) whose understanding requires a high degree of abstraction; data analysis; use of specific business software; personnel training; dissemination of knowledge pertaining to scientific disciplines.
To achieve higher responsibilities in their careers, graduates will need to further refine their education by completing a Master's degree, a first-level vocational master or a specialised professional course.
Professional skills
Mathematics graduates stand out for their aptitude for abstract reasoning and the formalisation or modelling of practical problems, as well as for their ability to solve these problems by using mathematical methods. This translates into strong problem-solving skills applicable to a wide range of scientific as well as socio-cultural situations.
Career opportunities
Bachelor's graduates in Mathematics usually continue their studies with a master's degree, but may also enter the job market directly. Potential employers include:
- banks and insurance companies
- survey institutes
- consulting firms
- software design and development companies
- research and development centres and laboratories.
Employment statistics (Almalaurea)
See the website http://users.unimi.it/erasmusmat/ for collected information on locations and how to recognize the activities carried out abroad.
To be eligible for admission to the Bachelor's degree in Mathematics, applicants must have an Italian upper-secondary school diploma or an equivalent qualification obtained abroad. Moreover, they should have a grounding in basic mathematics and an understanding of elementary logic.
Admission assessment
Admission to the Bachelor's degree programme in Mathematics is open, subject to a mandatory but non-selective assessment test before enrolment. This test is called TOLC (Test Online CISIA) and applicants can take it with the University of Milan or with any other member university of CISIA (Consortium of Inter-University Integrated Access Systems). Applicants must register for the TOLC test on the CISIA website (www.cisiaonline.it).
The following types of TOLC are accepted for admission to the Bachelor's degree in Mathematics: TOLC-S and TOLC-I.
Applicants can matriculate only after taking one of these tests, WHATEVER THE RESULT.
Other equivalent tests may be accepted, subject to the approval of the Academic Board.
For further information, please contact the Academic Office of the Department of Mathematics at [email protected]
The structure, topics and other useful details of the TOLC-S test are available at https://www.cisiaonline.it/en/tolc/tolc-s/structure-and-syllabus
The structure, topics and other useful details of the TOLC-I test are available at https://www.cisiaonline.it/en/tolc/tolc-i/structure-and-syllabus
Application deadlines and instructions will be specified in the call for applications, which will be published at https://matematica.cdl.unimi.it/it/iscriversi
Admission of transfer students and students already holding a degree
Students transferring from another degree programme of the University of Milan or another university will not be required to take the TOLC test, provided that they are admitted to years subsequent to Year I. The same applies to applicants who already hold a university degree.
Applicants falling into these categories must submit a specific request for recognition of prior academic learning, using the dedicated online service indicated in the call for applications.
The request must include a full transcript of records (listing all exams and the respective scientific-disciplinary sectors, credits and grades) along with the course syllabi. For more details on this procedure and the relevant timeframe, please refer to the call for applications.
Transfer students and degree-holders who are admitted to Year I will have to take the test (TOLC-S, TOLC-I or other equivalent tests approved by the Academic Board).
Additional learning requirements (OFA) and remedial activities
Students who do not score at least 10 points in the Mathematics module of the TOLC test will have to fulfil additional learning requirements (OFA).
These requirements can be met by passing part A (Syllabus) of the Elements of Basic Mathematics exam by December 2025. Students who do not fulfil their OFA may not take any second-year exams before passing one of the following exams: Algebra 1, Mathematical Analysis 1, Geometry 1.
For further information, please visit https://matematica.cdl.unimi.it/it/studiare/le-matricole
Call for applications
Please refer to the call for admission test dates and contents, and how to register.
Application for matriculation: from 15/07/2025 to 30/09/2025
CALL FOR APPLICATIONS - NOTICE
The call for applications is the only official document for admission to degree programmes. Please read it carefully. If you are reading this notice is because the call is available only in Italian as the programme is offered in Italian. Students wishing to enrol must be proficient in Italian.
| Courses or activities | Max ECTS | Total hours | Language | SSD |
|---|---|---|---|---|
| Compulsory | ||||
| Algebra 1 | 9 | 93 | Italian | MAT/02 |
| Elements of Basic Mathematics | 3 | 27 | Italian | MAT/01 MAT/02 MAT/03 |
| Geometry 1 | 6 | 63 | Italian | MAT/03 |
| Mathematical Analysis 1 | 9 | 93 | Italian | MAT/05 |
| Courses or activities | Max ECTS | Total hours | Language | SSD |
|---|---|---|---|---|
| Compulsory | ||||
| General Physics 1 | 9 | 93 | Italian | FIS/01 |
| Geometry 2 | 9 | 93 | Italian | MAT/03 |
| Mathematical Analysis 2 | 6 | 60 | Italian | MAT/05 |
| Programming 1 | 6 | 63 | Italian | INF/01 |
| Courses or activities | Max ECTS | Total hours | Language | SSD |
|---|---|---|---|---|
| Compulsory | ||||
| English Assessment B1 (3 ECTS) | 3 | 0 | English | NN |
| Courses or activities | Max ECTS | Total hours | Language | SSD |
|---|---|---|---|---|
| Compulsory | ||||
| Algebra 2 | 6 | 63 | Italian | MAT/02 |
| Geometry 3 | 9 | 93 | Italian | MAT/03 |
| Mathematical Analysis 3 | 9 | 93 | Italian | MAT/05 |
| Numerical Analysis 1 | 9 | 96 | Italian | MAT/08 |
| Optional | ||||
| Mathematical Methods and Models for Applications | 6 | 60 | Italian | MAT/07 |
| Mathematical Methods and Models for the Applications | 6 | 60 | Italian | MAT/07 |
| Courses or activities | Max ECTS | Total hours | Language | SSD |
|---|---|---|---|---|
| Compulsory | ||||
| Geometry 4 | 6 | 60 | Italian | MAT/03 |
| Mathematical Analysis 4 | 6 | 60 | Italian | MAT/05 |
| Mathematical Physics 1 | 6 | 60 | Italian | MAT/07 |
| Probability | 9 | 93 | Italian | MAT/06 |
| Courses or activities | Max ECTS | Total hours | Language | SSD |
|---|---|---|---|---|
| Compulsory | ||||
| General Physics 2 | 9 | 93 | Italian | FIS/01 |
| Mathematical Physics 1 | 6 | 60 | Italian | MAT/07 |
| Optional | ||||
| Algebra 3 | 9 | 93 | Italian | MAT/02 |
| Geometry 5 | 9 | 78 | Italian | MAT/03 |
| Mathematical Analysis 5 | 6 | 60 | Italian | MAT/05 |
| Probability Lab | 3 | 36 | Italian | MAT/06 |
| Programming 2 | 6 | 60 | Italian | INF/01 |
| Scientific Computing | 6 | 60 | Italian | MAT/08 |
| Topics in Scientific Computing | 6 | 60 | Italian | MAT/08 |
| Courses or activities | Max ECTS | Total hours | Language | SSD |
|---|---|---|---|---|
| Optional | ||||
| Algebra 4 | 9 | 78 | Italian | MAT/02 |
| Algorithms and Data Structures | 9 | 93 | Italian | INF/01 |
| Elements of Basic Mathematics 2 | 3 | 27 | Italian | MAT/01 |
| General Physics 3 | 9 | 93 | Italian | FIS/02 FIS/03 |
| Introduction to Image Processing | 6 | 63 | Italian | MAT/03 MAT/08 |
| Laboratory of Mathematical Statistics | 3 | 36 | Italian | MAT/06 |
| Mathematical Physics 3 | 9 | 93 | Italian | MAT/07 |
| Numerical Analysis Laboratory | 3 | 36 | Italian | MAT/08 |
| Numerical Linear Algebra | 6 | 60 | English | MAT/08 |
| Courses or activities | Max ECTS | Total hours | Language | SSD |
|---|---|---|---|---|
| Optional | ||||
| Educational Training | 3 | 0 | Italian | NN |
| Essay Written Under the Direction of a Staff Member | 3 | 0 | Italian | NN |
| Courses or activities | Max ECTS | Total hours | Language | SSD |
|---|---|---|---|---|
| Compulsory | ||||
| Final Exam | 3 | 0 | Italian | NN |
| Courses or activities | Max ECTS | Total hours | Language | Lesson period | SSD |
|---|---|---|---|---|---|
| Algebra 3 | 9 | 93 | Italian | First semester | MAT/02 |
| Mathematical Physics 3 | 9 | 93 | Italian | Second semester | MAT/07 |
| Courses or activities | Max ECTS | Total hours | Language | Lesson period | SSD |
|---|---|---|---|---|---|
| Algorithms and Data Structures | 9 | 93 | Italian | Second semester | INF/01 |
| General Physics 3 | 9 | 93 | Italian | Second semester | FIS/02 FIS/03 |
Vengono riportati nella tabella seguente gli insegnamenti appositamente attivati dal CdM. Lo studente può anche scegliere tra tutti gli insegnamenti attivati dall'Ateneo, ed, in particolare, tra quelli attivati dal CdM in Matematica per un curriculum diverso da quello seguito dallo studente. La scelta è soggetta all'approvazione del CdM.
Si segnala inoltre che l'insegnamento di Metodi e modelli matematici per le applicazioni è incompatibile con l'Attività di Metodi e modelli matematici per le applicazioni (che rientra tra le attività a scelta per il conseguimento dei crediti di tipo f) e, analogamente, l'insegnamento di Calcolo Scientifico è incompatibile con l'Attività di Calcolo Scientifico .
| Courses or activities | Max ECTS | Total hours | Language | Lesson period | SSD |
|---|---|---|---|---|---|
| Algebra 4 | 9 | 78 | Italian | Second semester | MAT/02 |
| Geometry 5 | 9 | 78 | Italian | First semester | MAT/03 |
| Introduction to Image Processing | 6 | 63 | Italian | Second semester | MAT/03 MAT/08 |
| Mathematical Analysis 5 | 6 | 60 | Italian | First semester | MAT/05 |
| Mathematical Methods and Models for Applications | 6 | 60 | Italian | First semester | MAT/07 |
| Numerical Linear Algebra | 6 | 60 | English | Second semester | MAT/08 |
| Programming 2 | 6 | 60 | Italian | First semester | INF/01 |
| Scientific Computing | 6 | 60 | Italian | First semester | MAT/08 |
| Courses or activities | Max ECTS | Total hours | Language | Lesson period | SSD |
|---|---|---|---|---|---|
| Educational Training | 3 | 0 | Italian | Open sessions | NN |
| Elements of Basic Mathematics 2 | 3 | 27 | Italian | Second semester | MAT/01 |
| Essay Written Under the Direction of a Staff Member | 3 | 0 | Italian | Open sessions | NN |
| Laboratory of Mathematical Statistics | 3 | 36 | Italian | Second semester | MAT/06 |
| Mathematical Methods and Models for the Applications | 6 | 60 | Italian | First semester | MAT/07 |
| Numerical Analysis Laboratory | 3 | 36 | Italian | Second semester | MAT/08 |
| Probability Lab | 3 | 36 | Italian | First semester | MAT/06 |
| Topics in Scientific Computing | 6 | 60 | Italian | First semester | MAT/08 |
| Learning activity | Prescribed foundation courses |
|---|---|
| Algebra 2 | Elements of Basic Mathematics (compulsory) |
| Algebra 3 | Elements of Basic Mathematics (compulsory) |
| Algebra 4 | Elements of Basic Mathematics (compulsory) |
| Algorithms and Data Structures | Elements of Basic Mathematics (compulsory) |
| Elements of Basic Mathematics 2 | Elements of Basic Mathematics (compulsory) |
| General Physics 2 | Elements of Basic Mathematics (compulsory) |
| General Physics 3 | Elements of Basic Mathematics (compulsory) |
| Geometry 3 | Elements of Basic Mathematics (compulsory) |
| Geometry 4 | Elements of Basic Mathematics (compulsory) |
| Geometry 5 | Elements of Basic Mathematics (compulsory) |
| Introduction to Image Processing | Elements of Basic Mathematics (compulsory) |
| Laboratorio Di Fisica Matematica | Elements of Basic Mathematics (optional) |
| Laboratory of Mathematical Statistics | Elements of Basic Mathematics (compulsory) |
| Mathematical Analysis 3 | Elements of Basic Mathematics (compulsory) |
| Mathematical Analysis 4 | Elements of Basic Mathematics (compulsory) |
| Mathematical Analysis 5 | Elements of Basic Mathematics (compulsory) |
| Mathematical Methods and Models for Applications | Elements of Basic Mathematics (compulsory) |
| Mathematical Methods and Models for the Applications | Elements of Basic Mathematics (compulsory) |
| Mathematical Physics 1 | Elements of Basic Mathematics (compulsory) |
| Mathematical Physics 3 | Elements of Basic Mathematics (compulsory) |
| Mathematical Statistics | Elements of Basic Mathematics (compulsory) |
| Numerical Analysis 1 | Elements of Basic Mathematics (compulsory) |
| Numerical Analysis 2 | Elements of Basic Mathematics (compulsory) |
| Numerical Analysis Laboratory | Elements of Basic Mathematics (compulsory) |
| Numerical Linear Algebra | Elements of Basic Mathematics (compulsory) |
| Probability | Elements of Basic Mathematics (compulsory) |
| Probability Lab | Elements of Basic Mathematics (compulsory) |
| Programming 2 | Elements of Basic Mathematics (compulsory) |
| Scientific Computing | Elements of Basic Mathematics (compulsory) |
| Topics in Scientific Computing | Elements of Basic Mathematics (compulsory) |
| Courses or activities | Max ECTS | Total hours | Language | SSD |
|---|---|---|---|---|
| Compulsory | ||||
| Algebra 1 | 9 | 93 | Italian | MAT/02 |
| Elements of Basic Mathematics | 3 | 27 | Italian | MAT/01 MAT/02 MAT/03 |
| Geometry 1 | 6 | 63 | Italian | MAT/03 |
| Mathematical Analysis 1 | 9 | 93 | Italian | MAT/05 |
| Courses or activities | Max ECTS | Total hours | Language | SSD |
|---|---|---|---|---|
| Compulsory | ||||
| General Physics 1 | 9 | 93 | Italian | FIS/01 |
| Geometry 2 | 9 | 93 | Italian | MAT/03 |
| Mathematical Analysis 2 | 6 | 60 | Italian | MAT/05 |
| Programming 1 | 6 | 63 | Italian | INF/01 |
| Courses or activities | Max ECTS | Total hours | Language | SSD |
|---|---|---|---|---|
| Compulsory | ||||
| English Assessment B1 (3 ECTS) | 3 | 0 | English | NN |
| Courses or activities | Max ECTS | Total hours | Language | SSD |
|---|---|---|---|---|
| Compulsory | ||||
| Algebra 2 | 6 | 63 | Italian | MAT/02 |
| Geometry 3 | 9 | 93 | Italian | MAT/03 |
| Mathematical Analysis 3 | 9 | 93 | Italian | MAT/05 |
| Numerical Analysis 1 | 9 | 96 | Italian | MAT/08 |
| Optional | ||||
| Mathematical Methods and Models for Applications | 6 | 60 | Italian | MAT/07 |
| Courses or activities | Max ECTS | Total hours | Language | SSD |
|---|---|---|---|---|
| Compulsory | ||||
| Mathematical Analysis 4 | 6 | 60 | Italian | MAT/05 |
| Mathematical Physics 1 | 6 | 60 | Italian | MAT/07 |
| Numerical Analysis 2 | 6 | 63 | Italian | MAT/08 |
| Probability | 9 | 93 | Italian | MAT/06 |
| Courses or activities | Max ECTS | Total hours | Language | SSD |
|---|---|---|---|---|
| Compulsory | ||||
| General Physics 2 | 9 | 93 | Italian | FIS/01 |
| Mathematical Physics 1 | 6 | 60 | Italian | MAT/07 |
| Mathematical Statistics | 9 | 93 | Italian | MAT/06 |
| Optional | ||||
| Geometry 5 | 9 | 78 | Italian | MAT/03 |
| Mathematical Analysis 5 | 6 | 60 | Italian | MAT/05 |
| Probability Lab | 3 | 36 | Italian | MAT/06 |
| Programming 2 | 6 | 60 | Italian | INF/01 |
| Scientific Computing | 6 | 60 | Italian | MAT/08 |
| Courses or activities | Max ECTS | Total hours | Language | SSD |
|---|---|---|---|---|
| Optional | ||||
| Algebra 4 | 9 | 78 | Italian | MAT/02 |
| Algorithms and Data Structures | 9 | 93 | Italian | INF/01 |
| Elements of Basic Mathematics 2 | 3 | 27 | Italian | MAT/01 |
| General Physics 3 | 9 | 93 | Italian | FIS/02 FIS/03 |
| Introduction to Image Processing | 6 | 63 | Italian | MAT/03 MAT/08 |
| Laboratory of Mathematical Statistics | 3 | 36 | Italian | MAT/06 |
| Numerical Analysis Laboratory | 3 | 36 | Italian | MAT/08 |
| Numerical Linear Algebra | 6 | 60 | English | MAT/08 |
| Courses or activities | Max ECTS | Total hours | Language | SSD |
|---|---|---|---|---|
| Optional | ||||
| Educational Training | 3 | 0 | Italian | NN |
| Essay Written Under the Direction of a Staff Member | 3 | 0 | Italian | NN |
| Internship in Industry | 3 | 0 | Italian | NN |
| Laboratorio di fisica matematica | 3 | 36 | Italian | MAT/07 |
| Courses or activities | Max ECTS | Total hours | Language | SSD |
|---|---|---|---|---|
| Compulsory | ||||
| Final Exam | 3 | 0 | Italian | NN |
| Courses or activities | Max ECTS | Total hours | Language | Lesson period | SSD |
|---|---|---|---|---|---|
| Algorithms and Data Structures | 9 | 93 | Italian | Second semester | INF/01 |
| General Physics 3 | 9 | 93 | Italian | Second semester | FIS/02 FIS/03 |
Vengono riportati nella tabella seguente gli insegnamenti appositamente attivati dal CdM. Lo studente può anche scegliere tra tutti gli insegnamenti attivati dall'Ateneo, ed, in particolare, tra quelli attivati dal CdM in Matematica per un curriculum diverso da quello seguito dallo studente. La scelta è soggetta all'approvazione del CdM.
Si segnala inoltre che l'insegnamento di Metodi e modelli matematici per le applicazioni è incompatibile con l'Attività di Metodi e modelli matematici per le applicazioni (che rientra tra le attività a scelta per il conseguimento dei crediti di tipo f) e, analogamente, l'insegnamento di Calcolo Scientifico è incompatibile con l'Attività di Calcolo Scientifico .
| Courses or activities | Max ECTS | Total hours | Language | Lesson period | SSD |
|---|---|---|---|---|---|
| Algebra 4 | 9 | 78 | Italian | Second semester | MAT/02 |
| Geometry 5 | 9 | 78 | Italian | First semester | MAT/03 |
| Introduction to Image Processing | 6 | 63 | Italian | Second semester | MAT/03 MAT/08 |
| Mathematical Analysis 5 | 6 | 60 | Italian | First semester | MAT/05 |
| Mathematical Methods and Models for Applications | 6 | 60 | Italian | First semester | MAT/07 |
| Numerical Linear Algebra | 6 | 60 | English | Second semester | MAT/08 |
| Programming 2 | 6 | 60 | Italian | First semester | INF/01 |
| Scientific Computing | 6 | 60 | Italian | First semester | MAT/08 |
| Courses or activities | Max ECTS | Total hours | Language | Lesson period | SSD |
|---|---|---|---|---|---|
| Educational Training | 3 | 0 | Italian | Open sessions | NN |
| Elements of Basic Mathematics 2 | 3 | 27 | Italian | Second semester | MAT/01 |
| Essay Written Under the Direction of a Staff Member | 3 | 0 | Italian | Open sessions | NN |
| Internship in Industry | 3 | 0 | Italian | Open sessions | NN |
| Probability Lab | 3 | 36 | Italian | First semester | MAT/06 |
| Courses or activities | Max ECTS | Total hours | Language | Lesson period | SSD |
|---|---|---|---|---|---|
| Laboratorio di fisica matematica | 3 | 36 | Italian | Open sessions | MAT/07 |
| Laboratory of Mathematical Statistics | 3 | 36 | Italian | Second semester | MAT/06 |
| Numerical Analysis Laboratory | 3 | 36 | Italian | Second semester | MAT/08 |
| Learning activity | Prescribed foundation courses |
|---|---|
| Algebra 2 | Elements of Basic Mathematics (compulsory) |
| Algebra 3 | Elements of Basic Mathematics (compulsory) |
| Algebra 4 | Elements of Basic Mathematics (compulsory) |
| Algorithms and Data Structures | Elements of Basic Mathematics (compulsory) |
| Elements of Basic Mathematics 2 | Elements of Basic Mathematics (compulsory) |
| General Physics 2 | Elements of Basic Mathematics (compulsory) |
| General Physics 3 | Elements of Basic Mathematics (compulsory) |
| Geometry 3 | Elements of Basic Mathematics (compulsory) |
| Geometry 4 | Elements of Basic Mathematics (compulsory) |
| Geometry 5 | Elements of Basic Mathematics (compulsory) |
| Introduction to Image Processing | Elements of Basic Mathematics (compulsory) |
| Laboratorio Di Fisica Matematica | Elements of Basic Mathematics (optional) |
| Laboratory of Mathematical Statistics | Elements of Basic Mathematics (compulsory) |
| Mathematical Analysis 3 | Elements of Basic Mathematics (compulsory) |
| Mathematical Analysis 4 | Elements of Basic Mathematics (compulsory) |
| Mathematical Analysis 5 | Elements of Basic Mathematics (compulsory) |
| Mathematical Methods and Models for Applications | Elements of Basic Mathematics (compulsory) |
| Mathematical Methods and Models for the Applications | Elements of Basic Mathematics (compulsory) |
| Mathematical Physics 1 | Elements of Basic Mathematics (compulsory) |
| Mathematical Physics 3 | Elements of Basic Mathematics (compulsory) |
| Mathematical Statistics | Elements of Basic Mathematics (compulsory) |
| Numerical Analysis 1 | Elements of Basic Mathematics (compulsory) |
| Numerical Analysis 2 | Elements of Basic Mathematics (compulsory) |
| Numerical Analysis Laboratory | Elements of Basic Mathematics (compulsory) |
| Numerical Linear Algebra | Elements of Basic Mathematics (compulsory) |
| Probability | Elements of Basic Mathematics (compulsory) |
| Probability Lab | Elements of Basic Mathematics (compulsory) |
| Programming 2 | Elements of Basic Mathematics (compulsory) |
| Scientific Computing | Elements of Basic Mathematics (compulsory) |
| Topics in Scientific Computing | Elements of Basic Mathematics (compulsory) |
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SCACCHI Simone - Mathematics Final Exam Organization Board
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ZAMPIERI Elena (Presidente), REGGIO Luca - Other Activities and Credit Award Board
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GAETA Giuseppe (Presidente), GORI Anna, MATESSI Diego, SCACCHI Simone, PAYNE Kevin - Timetables Board
LOVADINA Carlo (Presidente), ZAMPIERI Elena, ZANOTTI Pietro - Admission Test Organization Board
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The tuition fees for students enrolled in Bachelor's, Master's and single-cycle degree programmes are divided into two instalments with different calculation methods and payment schedules:
- The amount of the first instalment is the same for all students
- The amount of the second instalment varies according to the ISEE University value, the degree programme and the student status (on track / off track for one year or off track for more than a year)
- An additional fee is due for online programmes
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- Concessions for students meeting high merit requirements
- Diversified tuition fees according to the student's home country for international students with assets/income abroad
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